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Finding the Fourth Proportional to 9,271.71, 13,909.82 and 3,032.01

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Solution

The fourth proportional to 9,271.71, 13,909.82 and 3,032.01 is: 4,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.71 : 13,909.82 = 3,032.01 : x
  2. Step 2: Convert to fraction form
    9,271.71/13,909.82 = 3,032.01/x
  3. Step 3: Cross multiply
    9,271.71x = 13,909.82 × 3,032.01
  4. Step 4: Simplify right side
    9,271.71x = 42,174,698.18
  5. Step 5: Solve for x
    x = 42,174,698.18/9,271.71
  6. Step 6: Final answer
    x = 4,548.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.